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timama [110]
3 years ago
14

The Pacific halibut fishery has been modeled by the differential equation dy dt = ky 1 − y K where y(t) is the biomass (the tota

l mass of the members of the population) in kilograms at time t (measured in years), the carrying capacity is estimated to be K = 9×107 kg, and k = 0.75 per year. (a) If y(0) = 2×107 kg, find the biomass a year later. (Round your answer to two decimal places.) ×107 kg (b) How long will it take for the biomass to reach 4×107? (Round your answer to two decimal places.) years

Mathematics
1 answer:
Reika [66]3 years ago
6 0

Answer:

398.411

Step-by-step explanation:

Explanation has been given in the following attachments.

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Pearson realize help please!
yulyashka [42]

Answer:

I think it would be 15

Step-by-step explanation:

Because if you split the number line into 6 different sections (with the 15 on the left side and the 16 on the right side) and shade/fill in 2 of those, you would be closer to 15.

6 0
2 years ago
You are planning to make an open rectangular box from aa 4141​-in.-by-8181​-in. piece of cardboard by cutting congruent squares
marissa [1.9K]

Answer:

13058.83 cubic inches

Step-by-step explanation:

Given that a rectangular box is having dimensions as 41x81 inches.

Let x be the side of square cut from all the four corners.

The open box made would have height as x and length 41-2x with width 81-2x

Volume =

V(x) = x(41-2x)(81-2x)\\V(x) =x(3321-244x+4x^2)\\V(x) = 3321x-244x^2+4x^3\\V'(x) = 3321-488x+12x^2\\V"(x) = -488+24x\\

Equate first derivative to 0

We get applicable root as x = 8.642

Max volume = 13058.83 cubic inches

3 0
3 years ago
Can anyone solve this ?
enot [183]
Is e just an algebraic expression or is it Euler's number (2.718...)?

If e is an algebraic expression then there it is

6 0
3 years ago
What is the result of isolating y2 in the equation below?
lyudmila [28]
STEP-BY-STEP SOLUTION:

( x + 4 )^2 + y^2 = 22

x^2 + 2 × x × 4 + 4^2 + y^2 = 22

x^2 + 8x + 16 + y^2 = 22

y^2 = 22 - x^2 - 8x - 16

y^2 = - x^2 - 8x + 6

FINAL ANSWER:

Therefore, the answer is:

D. y^2 = - x^2 - 8x + 6

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Thank you <3
6 0
3 years ago
Eight more than the quotient of a number and 4 equals 5
Lady bird [3.3K]
Well we can put that word problem into a equation so, 8+x/4=5. Now what I would do is move the 8 to the other side, and since it moved to the other side it becomes a -8 so now we have x/4 = -3. Now I would multiply both side by 4 to get x = -12

Answer= X = -12
3 0
3 years ago
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